Solve (x² - 16)(x² - 9) = 0

asked Jan 27, 2022 189k views

10 votes

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6 votes

Answer:

x=-4,4,-3,3

Explanation:

Factor by the difference of two squares

${x}^(2) - {y}^(2) = (x + y)(x - y)$

${x}^(2) - 16 = (x + 4)(x - 4) \\ {x}^(2) - 9 = (x + 3)( x - 3)$

(x + 4)(x - 4)(x + 3)(x - 3) = 0

Therefore, our answer is x = -4,4,-3,3

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